3662861200 has 60 divisors (see below), whose sum is σ = 8810390340. Its totient is φ = 1463418880.

The previous prime is 3662861161. The next prime is 3662861221. The reversal of 3662861200 is 21682663.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 940526224 + 2722334976 = 30668^2 + 52176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366672 + ... + 376528.

It is an arithmetic number, because the mean of its divisors is an integer number (146839839).

Almost surely, 2^3662861200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405195170).

3662861200 is an abundant number, since it is smaller than the sum of its proper divisors (5147529140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3662861200 is a wasteful number, since it uses less digits than its factorization.

3662861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3662861200 is about 60521.5763178720. The cubic root of 3662861200 is about 1541.4880203351.

The spelling of 3662861200 in words is "three billion, six hundred sixty-two million, eight hundred sixty-one thousand, two hundred".